Search a number
-
+
13272120 = 2333512289
BaseRepresentation
bin110010101000…
…010000111000
3220222021221000
4302220100320
511344201440
61152245000
7220545141
oct62502070
926867830
1013272120
1175455a4
124540760
132999034
141a96ac8
151272730
hexca8438

13272120 has 64 divisors (see below), whose sum is σ = 44244000. Its totient is φ = 3538944.

The previous prime is 13272113. The next prime is 13272143. The reversal of 13272120 is 2127231.

It is a super-2 number, since 2×132721202 = 352298338588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13272093 and 13272102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5065 + ... + 7224.

Almost surely, 213272120 is an apocalyptic number.

13272120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13272120 is an abundant number, since it is smaller than the sum of its proper divisors (30971880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13272120 is a wasteful number, since it uses less digits than its factorization.

13272120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12309 (or 12299 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13272120 is about 3643.0920932636. The cubic root of 13272120 is about 236.7627813888.

Adding to 13272120 its reverse (2127231), we get a palindrome (15399351).

The spelling of 13272120 in words is "thirteen million, two hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 12289 24578 36867 49156 61445 73734 98312 110601 122890 147468 184335 221202 245780 294936 331803 368670 442404 491560 553005 663606 737340 884808 1106010 1327212 1474680 1659015 2212020 2654424 3318030 4424040 6636060 13272120